What is the Greatest Common Factor of 56574 and 56589?

Greatest common factor (GCF) of 56574 and 56589 is 3.

GCF(56574,56589) = 3

We will now calculate the prime factors of 56574 and 56589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56574 and 56589.

How to find the GCF of 56574 and 56589?

We will first find the prime factorization of 56574 and 56589. After we will calculate the factors of 56574 and 56589 and find the biggest common factor number .

Step-1: Prime Factorization of 56574

Prime factors of 56574 are 2, 3, 7, 449. Prime factorization of 56574 in exponential form is:

56574 = 2¹ × 3² × 7¹ × 449¹

Step-2: Prime Factorization of 56589

Prime factors of 56589 are 3, 13, 1451. Prime factorization of 56589 in exponential form is:

56589 = 3¹ × 13¹ × 1451¹

Step-3: Factors of 56574

List of positive integer factors of 56574 that divides 56574 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 449, 898, 1347, 2694, 3143, 4041, 6286, 8082, 9429, 18858, 28287

Step-4: Factors of 56589

List of positive integer factors of 56589 that divides 56574 without a remainder.

1, 3, 13, 39, 1451, 4353, 18863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56574 and 56589. The biggest common factor number is the GCF number.
So the greatest common factor 56574 and 56589 is 3.

Also check out the Least Common Multiple of 56574 and 56589